The Annals of Statistics

Estimation of a Biometric Function

Grace L. Yang

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Abstract

In the analysis of life tables one biometric function of interest is the life expectancy at age $x, e_x = E\lbrack X - x\mid X > x\rbrack$. Estimation of $e_x$ is considered, the standard estimator used in life tables is shown to be asymptotically unbiased, uniformly strong consistent, and converges in distribution to a Gaussian process. The connections of the estimator studied in this article and that used in reliability theory are illustrated.

Article information

Source
Ann. Statist., Volume 6, Number 1 (1978), 112-116.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176344070

Digital Object Identifier
doi:10.1214/aos/1176344070

Mathematical Reviews number (MathSciNet)
MR471233

Zentralblatt MATH identifier
0371.62055

JSTOR
links.jstor.org

Subjects
Primary: 62P10: Applications to biology and medical sciences
Secondary: 62G05: Estimation 62E20: Asymptotic distribution theory

Keywords
Biometric function life expectancy reliability total time on test uniform strong consistency bias tightness limiting normal process

Citation

Yang, Grace L. Estimation of a Biometric Function. Ann. Statist. 6 (1978), no. 1, 112--116. doi:10.1214/aos/1176344070. https://projecteuclid.org/euclid.aos/1176344070


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